102000432120100 has 72 divisors (see below), whose sum is σ = 221736541703040. Its totient is φ = 40727289060480.

The previous prime is 102000432120061. The next prime is 102000432120109. The reversal of 102000432120100 is 1021234000201.

It is a super-4 number, since 4×102000432120100⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (102000432120109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212788294 + ... + 213267106.

It is an arithmetic number, because the mean of its divisors is an integer number (3079674190320).

Almost surely, 2^{102000432120100} is an apocalyptic number.

102000432120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000432120100 is an abundant number, since it is smaller than the sum of its proper divisors (119736109582940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102000432120100 is a wasteful number, since it uses less digits than its factorization.

102000432120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482629 (or 482622 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102000432120100 its reverse (1021234000201), we get a palindrome (103021666120301).

The spelling of 102000432120100 in words is "one hundred two trillion, four hundred thirty-two million, one hundred twenty thousand, one hundred".